10,968 research outputs found
Rainbow gravity corrections to the entropic force
The entropic force attracts a lot of interest for its multifunctional
properties. For instance, Einstein's field equation, Newton's law of
gravitation and the Friedmann equation can be derived from the entropic force.
In this paper, utilizing a new kind of rainbow gravity model that was proposed
by Magueijo and Smolin, we explore the quantum gravity corrections to the
entropic force. First, we derive the modified thermodynamics of a rainbow black
hole via its surface gravity. Then, according to Verlinde's theory, the quantum
corrections to the entropic force are obtained. The result shows that the
modified entropic force is related not only to the properties of the black hole
but also the Planck length , and the rainbow parameter .
Furthermore, based on the rainbow gravity corrected entropic force, the
modified Einstein's field equation and the modified Friedmann equation are also
derived.Comment: 10 page
Thermodynamic phase transition of a black hole in rainbow gravity
In this letter, using the rainbow functions that were proposed by Magueijo
and Smolin, we investigate the thermodynamics and the phase transition of
rainbow Schwarzschild black hole. First, we calculate the rainbow gravity
corrected Hawking temperature. From this modification, we then derive the local
temperature, free energy, and other thermodynamic quantities in an isothermal
cavity. Finally, we analyze the critical behavior, thermodynamic stability, and
phase transition of the rainbow Schwarzschild black hole. The results show that
the rainbow gravity can stop the Hawking radiation in the final stages of black
holes' evolution and lead to the remnants of black holes. Furthermore, one can
observe that the rainbow Schwarzschild black hole has one first-order phase
transition, two second-order phase transitions, and three Hawking-Page-type
phase transitions in the framework of rainbow gravity theory.Comment: 7 pages, 3 figures, accepted for publication in Physical Letter B.
arXiv admin note: substantial text overlap with arXiv:1608.0682
Fermions Tunneling from Higher-Dimensional Reissner-Nordstr\"om Black Hole: Semiclassical and Beyond Semiclassical Approximation
Based on semiclassical tunneling method, we focus on charged fermions
tunneling from higher-dimensional Reissner-Nordstr\"{o}m black hole. We first
simplify the Dirac equation by semiclassical approximation, and then a
semiclassical Hamilton-Jacobi equation is obtained. Using the Hamilton-Jacobi
equation, we study the Hawking temperature and fermions tunneling rate at the
event horizon of the higher-dimensional Reissner-Nordstr\"{o}m black hole
spacetime. Finally, the correct entropy is calculation by the method beyond
semiclassical approximation.Comment: 7 page
Novel Non-equilibrium Phase Transition Caused by Non-linear Hadronic-quark Phase Structure
We consider how the occurrence of first-order phase transitions in
non-constant pressure differs from those at constant pressure. The former has
shown the non-linear phase structure of mixed matter, which implies a particle
number dependence of the binding energies of the two species. If the mixed
matter is mixed hadron-quark phase, nucleon outgoing from hadronic phase and
ingoing to quark phase probably reduces the system to a non-equilibrium state,
in other words, there exists the imbalance of the two phases when deconfinement
takes place. This novel non-equilibrium process is very analogous to the
nuclear reactions that nuclei emit neutrons and absorb them under appropriate
conditions. We present self-consistent thermodynamics in description for the
processes and identify the microphysics responsible for the processes. The
microphysics is an inevitable consequence of non-linear phase structure instead
of the effect of an additional dissipation force. When applying our findings to
the neutron star containing mixed hadron-quark matter, it is found that the
newly discovered energy release might strongly change the thermal evolution
behavior of the star.Comment: 18pages,3figures;to be accepted for publication in Physics Letters
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